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Proof step 7 from proof refine-close (previous step)

err = err0, fs = abs-files(files), ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [err := ESUCCESS; if ¬ fd ∈ of then err := EBADFD else let ino = of[fd].ino in choose p_inode with true in {afs_iget#(ino, dirs, files, asynced; p_inode, err); if err = ESUCCESS then {of := of -- fd; vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}}] ( of-cons(of, dirs, files) ∧ dom of < ino ∧ afs-cons(dirs, files) → ⟨posix_close#(fd, user, root; err0, fs, ofh)⟩ (ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 8:
err = ESUCCESS, err1 = err0, fs = abs-files(files), ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [if ¬ fd ∈ of then err := EBADFD else let ino = of[fd].ino in choose p_inode with true in {afs_iget#(ino, dirs, files, asynced; p_inode, err); if err = ESUCCESS then {of := of -- fd; vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}}] ( of-cons(of, dirs, files) ∧ dom of < ino ∧ afs-cons(dirs, files) → ⟨posix_close#(fd, user, root; err0, fs, ofh)⟩ (ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Proof step 7 from proof refine-close (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information